2 citations · 2 across the 2 of their papers we have counts for
8 papers · 1 filter
Well-posedness and ill-posedness for a system of periodic quadratic derivative nonlinear Schrödinger equations
Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto
We consider the Cauchy problem of a system of quadratic derivative nonlinear Schrödinger equations which was introduced by M. Colin and T. Colin (2004) as a model of laser-plasma i…
A note on Strichartz estimates for the wave equation with orthonormal initial data
Neal Bez, Shinya Kinoshita, Shobu Shiraki
This note is concerned with Strichartz estimates for the wave equation and orthonormal families of initial data. We provide a survey of the known results and present what seems to…
Boundary Strichartz estimates and pointwise convergence for orthonormal systems
Neal Bez, Shinya Kinoshita, Shobu Shiraki
We consider maximal estimates associated with fermionic systems. First we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cas…
Sharp well-posedness for the Cauchy problem of the two dimensional quadratic nonlinear Schrödinger equation with angular regularity
Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto
This paper is concerned with the Cauchy problem of the quadratic nonlinear Schrödinger equation in with the nonlinearity where $η\in \math…
The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity
Sebastian Herr, Shinya Kinoshita
The Zakharov-Kuznetsov equation in spatial dimension is considered. The Cauchy problem is shown to be globally well-posed for small initial data in critical spaces and it…
Well-posedness for the Cauchy problem of the modified Zakharov-Kuznetsov equation
Shinya Kinoshita
This paper is concerned with the Cauchy problem of the modified Zakharov-Kuznetsov equation on . If , we prove the sharp estimate which implies local in time wel…